New examples of holomorphic foliations without algebraic leaves
We present a series of polynomial planar vector fields without algebraic invariant curves in .
New polynomials for which has a solution with almost all real zeros.
Newton's method for solutions of quasi-Bessel differential equations.
Nichteuklidischer Nullstellenabstand der Lösungen von w'' + p(z)w = 0.
Nichtselbstadjungierte Differentialoperatoren im nichtkompakten Fall.
Nicht-S-hermitesche Rand- und Eigenwertprobleme.
Non-commutative Hodge structures
This article gives a survey of recent results on a generalization of the notion of a Hodge structure. The main example is related to the Fourier-Laplace transform of a variation of polarizable Hodge structure on the punctured affine line, like the Gauss-Manin systems of a proper or tame algebraic function on a smooth quasi-projective variety. Variations of non-commutative Hodge structures often occur on the tangent bundle of Frobenius manifolds, giving rise to a tt* geometry.
Non-existence criteria for Laurent polynomial first integrals.
Normal forms for singularities of one dimensional holomorphic vector fields.
Normal forms of analytic perturbations of quasihomogeneous vector fields: Rigidity, invariant analytic sets and exponentially small approximation
In this article, we study germs of holomorphic vector fields which are “higher order” perturbations of a quasihomogeneous vector field in a neighborhood of the origin of , fixed point of the vector fields. We define a “Diophantine condition” on the quasihomogeneous initial part which ensures that if such a perturbation of is formally conjugate to then it is also holomorphically conjugate to it. We study the normal form problem relatively to . We give a condition on that ensures that there...
Normalisation des champs de vecteurs holomorphes
Note on the uniqueness of a global positive solution to the second Painlevé equation.
Notes on algebraic functions.
Nullstellen von Real- und Imaginärteil der Lösungen linearer Differentialgleichungen 2. Ordnung.